Pregunta
- This week, Boya has 20 rocks collected, and her goal is to
have a total of 160 rocks collected 8 weeks from now. After
adding to her rock collection next week, each week she will
add 1 more rock than what she added the previous week. For
the next 8 weeks, Boya will not remove any rocks from what
she has already collected. What is the minimum number of
rocks Boya must add to her collection next week so that she
reaches her goal?
have a total of 160 rocks collected 8 weeks from now. After
adding to her rock collection next week, each week she will
add 1 more rock than what she added the previous week. For
the next 8 weeks, Boya will not remove any rocks from what
she has already collected. What is the minimum number of
rocks Boya must add to her collection next week so that she
reaches her goal?
Ask by Daniel Vaughan. in the United States
Nov 06,2024
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
Boya needs to add 14 rocks next week to reach her goal of 160 rocks in 8 weeks.
Solución

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Respondido por UpStudy AI y revisado por un tutor profesional
Como
Bonus Knowledge
To solve this, let
be the number of rocks Boya adds next week. The total number of rocks she will collect over the 8 weeks can be expressed as:
This simplifies to:
Since Boya starts with 20 rocks and wants to have 160 rocks in total, we set up the equation:
Simplifying this gives:
So, the minimum number of rocks Boya must add to her collection next week is 14.
To confirm, if Boya adds 14 rocks next week, her weekly additions would be 14, 15, 16, 17, 18, 19, 20, and 21 rocks for the following weeks. Calculating the total:
Adding this to her starting collection:
Oops! Let’s re-evaluate:
She needs to reach 160, so 20 (initial) + 120 (collected over 8 weeks) actually equals 140 not the 160 she desires. Therefore the initial calculation needs to be reevaluated:
Step through again until identifying that:
9x + 28 = 140 confirms that x increments might have offsets needing correction to match a 20 start, look at corrections for factors around 17 handling down from larger values to ensure no error implements.

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